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Triakis Tetrahedron Stellations


B. Chilton and R. Whorf have studied stellations of the triakis tetrahedron (Wenninger 1983, p. 36). Whorf has found 138 stellations, 44 of which are fully symmetric and 94 of which are enantiomorphs (Wenninger 1983, p. 36).

Applying Miller's rules (the same as for the icosahedron stellations) to this solid, the stellation software Great Stella finds 188 stellations (including the original model), 52 of them reflexible and 136 of them chiral (Webb).


See also

Archimedean Dual Stellations, Fully Supported Stellation, Miller's Rules, Triakis Tetrahedron, Stellation

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References

Webb, R. "Enumeration of Stellations." http://www.software3d.com/Enumerate.php.Webb, R. "Final Stellation of Triakis Tetrahedron." http://www.software3d.com/StelTriakisTet.php.Wenninger, M. J. Dual Models. Cambridge, England: Cambridge University Press, pp. 36-37, 1983.

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Triakis Tetrahedron Stellations

Cite this as:

Weisstein, Eric W. "Triakis Tetrahedron Stellations." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TriakisTetrahedronStellations.html

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